10100201222223 has 64 divisors (see below), whose sum is σ = 17270098360320. Its totient is φ = 5714449710336.

The previous prime is 10100201222201. The next prime is 10100201222233. The reversal of 10100201222223 is 32222210200101.

10100201222223 is a `hidden beast` number, since 10 + 10 + 0 + 201 + 222 + 223 = 666.

It is not a de Polignac number, because 10100201222223 - 2¹² = 10100201218127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100201222196 and 10100201222205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100201222233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111636961 + ... + 111727397.

It is an arithmetic number, because the mean of its divisors is an integer number (269845286880).

Almost surely, 2^{10100201222223} is an apocalyptic number.

10100201222223 is a deficient number, since it is larger than the sum of its proper divisors (7169897138097).

10100201222223 is a wasteful number, since it uses less digits than its factorization.

10100201222223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96293 (or 96287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10100201222223 its reverse (32222210200101), we get a palindrome (42322411422324).

The spelling of 10100201222223 in words is "ten trillion, one hundred billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty-three".